few_shots: Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Mathematical concept/skill options: 
A. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
B. Reason quantitatively and use units to solve problems.
C. Apply and extend previous understandings of numbers to the system of rational numbers.
D. Represent complex numbers and their operations on the complex plane.
E. Perform arithmetic operations with complex numbers.
F. Compute fluently with multi-digit numbers and find common factors and multiples.
G. Represent and model with vector quantities.
H. Perform operations on vectors.
I. Use properties of rational and irrational numbers.
J. Use complex numbers in polynomial identities and equations.
K. Extend the properties of exponents to rational exponents.
L. Know that there are numbers that are not rational, and approximate them by rational numbers.
M. Perform operations on matrices and use matrices in applications.
N. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.


Thought: This problem involves understanding fractions, multiplication, and division.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001097

7
options: Write expressions in equivalent forms to solve problems.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

Represent and solve problems involving addition and subtraction.

Interpret the structure of expressions.

Gain familiarity with factors and multiples.

Solve systems of equations.

Add and subtract within 20.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze patterns and relationships.

Understand solving equations as a process of reasoning and explain the reasoning.

Generate and analyze patterns.

Understand properties of multiplication and the relationship between multiplication and division.

Understand the connections between proportional relationships, lines, and linear equations.

Understand and apply properties of operations and the relationship between addition and subtraction.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Multiply and divide within 100.

Rewrite rational expressions.

Use properties of operations to generate equivalent expressions.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.

Reason about and solve one-variable equations and inequalities.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Work with equal groups of objects to gain foundations for multiplication.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving multiplication and division.

Work with addition and subtraction equations.

Perform arithmetic operations on polynomials.
problem_activity: A cube has
$$6$$
equal sides, each with an area of
$${s^2}$$
square units. The surface area of a cube is the total area of all six sides, and is represented by the formula
$$S=6{s^2}$$
.
Find the surface area of a cube with the side lengths below.
a.
$${s=3}$$
inches
b.
$${s=1.2}$$
cm
c.
$${s={2\over3}}$$
ft


correct_option_index: 12